Algèbres $L^1$ $p$-adiques
DOI10.24033/bsmf.1871zbMath0392.46050OpenAlexW2584317534MaRDI QIDQ4173827
Bernard de Mathan, Jean Fresnel
Publication date: 1978
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1978__106__225_0
ExtensionNilradicalRadicalAlgebra of Continuous FunctionsAbsolute ValueConvolution ProductField of P-Adic RationalsP-Adic Fourier TransformP-Th Power RootsTopological Tensor ProductUltrametric Fields
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other transforms and operators of Fourier type (43A32) Tensor products in functional analysis (46M05) Valued fields (12J10) (L^1)-algebras on groups, semigroups, etc. (43A20) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items (3)
Cites Work
- Completely continuous endomorphisms of \(p\)-adic Banach spaces
- Non-archimedean group algebras
- On automorphisms of local fields
- Zeros of polynomials over local fields. The Galois action
- Fourier Analysis for P -Adic Lipschitz Functions
- Interpolation $p$-adique
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